102856644 has 108 divisors (see below), whose sum is σ = 297106992. Its totient is φ = 29752800.

The previous prime is 102856643. The next prime is 102856661. The reversal of 102856644 is 446658201.

102856644 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 6 + 644 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102856599 and 102856608.

It is not an unprimeable number, because it can be changed into a prime (102856643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209239 + ... + 209729.

Almost surely, 2^102856644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102856644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148553496).

102856644 is an abundant number, since it is smaller than the sum of its proper divisors (194250348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102856644 is a wasteful number, since it uses less digits than its factorization.

102856644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 102856644 is about 10141.8264627236. The cubic root of 102856644 is about 468.5372419005.

The spelling of 102856644 in words is "one hundred two million, eight hundred fifty-six thousand, six hundred forty-four".